… zonotopes Z(M) and Z(L) generated by M and L, respectively. We show that the volumes of
these zonotopes … In Chapter 3 we exploit a well-known connection between the zonotope Z(A) …

… Among the varieties of combinatorial properties attached to zonotopes one is of a … any
zonotope proved by Shephard in the 1970s,10 alternative presentations of this important zonotope …

… belt diameters of Π -zonotopes. We prove that any d -dimensional Π -zonotope ( d ≥ 3 ) has
… the edge graph of dual polytope for such zonotopes is not greater than 4 and 3 respectively. …

… 3 ∆-zonotopes R∆ Generalizing and developing the ideas from Section 2 we introduce ∆-zonotopes
as higher dimensional analogues of the centrally symmetric hexagon, used in the …

We study the exactness of certain combinatorially defined complexes which generalize the
Orlik-Solomon algebra of a geometric lattice. The main results pertain to complex reflection …

… zonotope generated by G is the convex hull of all signed sums of the elements of G. We consider
zonotopes … the primitive zonotope \(Z_q(d,p)\) defined as the zonotope generated by the …

… estimation based on zonotopes for linear discrete-… a zonotope which contains the real system
state. A P -radius-based criterion is minimized in order to decrease the size of the zonotope …

… Therefore, the graphical zonotope ZΓ is the Newton polytope … BΓ, and in terms of lattice points
in the graphical zonotope ZΓ. … mult(Γ,D) = 2k if and only if D is a vertex of the zonotope ZΓ. …

… of the zonotope complexity for each … zonotope by a lower-order zonotope. In order to achieve
this goal, it is advisable to define so-called zonotope support strip Ss,k for a given zonotope …

… when deciding for zonotopes to represent reachable sets of … of different methods for
zonotope/hyperplane intersection. These … We thereafter propose zonotope/halfspace and …